Pith Number

pith:PJ65ZOBM

pith:2013:PJ65ZOBMJIXDK52LVIPX52RPWR

not attested not anchored not stored refs pending

Open and Closed Prefixes of Sturmian Words

Alessandro De Luca, Gabriele Fici

arxiv:1306.2254 v1 · 2013-06-10 · math.CO · cs.DM · cs.FL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ65ZOBMJIXDK52LVIPX52RPWR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:47:44.946511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7ddcb82c4a2e35774baa1f7eea2fb4628976e6794306bd3203ea365d1a7b23

Aliases

arxiv: 1306.2254 · arxiv_version: 1306.2254v1 · doi: 10.48550/arxiv.1306.2254 · pith_short_12: PJ65ZOBMJIXD · pith_short_16: PJ65ZOBMJIXDK52L · pith_short_8: PJ65ZOBM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PJ65ZOBMJIXDK52LVIPX52RPWR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7a7ddcb82c4a2e35774baa1f7eea2fb4628976e6794306bd3203ea365d1a7b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85cf4210a3dd7e6fb54cc0fe342c33883ffaa52aa24f8220c109acc86a8e7746",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-10T17:32:14Z",
    "title_canon_sha256": "ff897e69ca42fc889ccb557bcd83fdb2e4e7d24c586464022d719bbe4e605128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2254",
    "kind": "arxiv",
    "version": 1
  }
}